What is the Least Common Multiple of 20379 and 20385?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 20379 and 20385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20379 and 20385, than apply into the LCM equation.

GCF(20379,20385) = 3
LCM(20379,20385) = ( 20379 × 20385) / 3
LCM(20379,20385) = 415425915 / 3
LCM(20379,20385) = 138475305

Least Common Multiple (LCM) of 20379 and 20385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20379 and 20385. First we will calculate the prime factors of 20379 and 20385.

Prime Factorization of 20379

Prime Factorization of 20385

Now multiplying the highest exponent prime factors to calculate the LCM of 20379 and 20385.

LCM(20379,20385) = 3³ × 6793¹ × 5¹ × 151¹
LCM(20379,20385) = 138475305